메뉴 건너뛰기




Volumn 33, Issue 5, 1996, Pages 1864-1884

Piecewise linear Petrov-Galerkin error estimates for the box method

Author keywords

Box method; Extremum stability; Mesh geometry; Piecewise linear Petrov Galerkin method

Indexed keywords


EID: 0008024913     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142992241824     Document Type: Article
Times cited : (16)

References (25)
  • 2
    • 0023401301 scopus 로고
    • Some error estimates for the box method
    • R. E. BANK AND D. J. ROSE, Some error estimates for the box method, SIAM J. Numer. Anal., 24 (1987), pp. 777-787.
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 777-787
    • Bank, R.E.1    Rose, D.J.2
  • 4
    • 0001063435 scopus 로고
    • On the finite volume element method
    • Z. CAI, On the finite volume element method, Numer. Math., 58 (1991), pp. 713-735.
    • (1991) Numer. Math. , vol.58 , pp. 713-735
    • Cai, Z.1
  • 5
    • 0026138971 scopus 로고
    • The finite volume element method for diffusion equations on general triangulations
    • Z. CAI, J. MANDEL, AND S. MCCORMICK, The finite volume element method for diffusion equations on general triangulations, SIAM J. Numer. Anal., 28 (1991), pp. 392-402.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 392-402
    • Cai, Z.1    Mandel, J.2    Mccormick, S.3
  • 6
    • 0000994637 scopus 로고
    • Approximation variationeile des problèmes aux limites
    • Grenoble
    • J. CEA, Approximation variationeile des problèmes aux limites, Ann. Inst. Fourier (Grenoble), 14 (1964), pp. 345-444.
    • (1964) Ann. Inst. Fourier , vol.14 , pp. 345-444
    • Cea, J.1
  • 9
    • 0024776810 scopus 로고
    • Primitives for the manipulation of three-dimensional subdivisions
    • D. P. DOBKIN and M. J. LASZLO, Primitives for the manipulation of three-dimensional subdivisions, Algorithmica, 4 (1989), pp. 3-32.
    • (1989) Algorithmica , vol.4 , pp. 3-32
    • Dobkin, D.P.1    Laszlo, M.J.2
  • 10
    • 1542744493 scopus 로고
    • The computational geometry column
    • H. EDELSBRUNNER, The computational geometry column, Bull. EATCS, 37 (1988), pp. 109-116.
    • (1988) Bull. EATCS , vol.37 , pp. 109-116
    • Edelsbrunner, H.1
  • 11
    • 85033750015 scopus 로고
    • Spatial Triangulations with Dihedral Angle Conditions
    • Sukuoka, Japan
    • _, Spatial Triangulations with Dihedral Angle Conditions, in Proc. Internat. Workshop on Discrete Algorithms and Complexity, Sukuoka, Japan, 1989, pp. 83-89.
    • (1989) Proc. Internat. Workshop on Discrete Algorithms and Complexity , pp. 83-89
  • 12
    • 84966249747 scopus 로고
    • Local refinement techniques for elliptic problems on cell-centered grids 1. Error analysis
    • R. EWING, R. LAZAROV, AND P. VASSILEVSKI, Local refinement techniques for elliptic problems on cell-centered grids 1. Error analysis, Math. Comp., 56 (1991), pp. 437-161.
    • (1991) Math. Comp. , vol.56 , pp. 437-1161
    • Ewing, R.1    Lazarov, R.2    Vassilevski, P.3
  • 13
    • 0016047189 scopus 로고
    • Theory of a finite difference method on irregular networks
    • V. GIRAULT, Theory of a finite difference method on irregular networks, SIAM J. Numer. Anal., 11 (1974), pp. 260-282.
    • (1974) SIAM J. Numer. Anal. , vol.11 , pp. 260-282
    • Girault, V.1
  • 14
    • 84942026338 scopus 로고
    • Primitives for manipulation of general subdivisions and the computation of Voronoi diagrams
    • L. GUIBAS AND J. STOLFI, Primitives for manipulation of general subdivisions and the computation of Voronoi diagrams, ACM Trans. Graphics, 4 (1985), pp. 74-123.
    • (1985) ACM Trans. Graphics , vol.4 , pp. 74-123
    • Guibas, L.1    Stolfi, J.2
  • 15
    • 0024776669 scopus 로고
    • On first and second order box schemes
    • W. HACKBUSCH, On first and second order box schemes, Computing, 41 (1989), pp. 277-296.
    • (1989) Computing , vol.41 , pp. 277-296
    • Hackbusch, W.1
  • 17
    • 1542534384 scopus 로고
    • Integral balancing method for a weakly nonlinear elliptic problem in irregular networks
    • B. HEINRICH AND M. MEISEL, Integral balancing method for a weakly nonlinear elliptic problem in irregular networks, Wis. Z. Tech. Hochsch. Karl-Marx-Stadt, 30 (1988), pp. 11-21.
    • (1988) Wis. Z. Tech. Hochsch. Karl-Marx-Stadt , vol.30 , pp. 11-21
    • Heinrich, B.1    Meisel, M.2
  • 18
    • 0026151963 scopus 로고
    • Construction of three-dimensional Delaunay triangulations using local transformations
    • B. JOE, Construction of three-dimensional Delaunay triangulations using local transformations, Comput. Aided Geom. Design, 8 (1991), pp. 123-142.
    • (1991) Comput. Aided Geom. Design , vol.8 , pp. 123-142
    • Joe, B.1
  • 19
    • 0001218055 scopus 로고
    • ∞ stability of finite element approximations to elliptic gradient equations
    • ∞ stability of finite element approximations to elliptic gradient equations, Numer. Math., 57 (1990), pp. 561-575.
    • (1990) Numer. Math. , vol.57 , pp. 561-575
    • Kerkhoven, T.1    Jerome, J.W.2
  • 20
    • 0000061516 scopus 로고
    • 1 function interpolation
    • J. R. Rice, ed., Academic Press, New York
    • 1 function interpolation, in Mathematical Software III, J. R. Rice, ed., Academic Press, New York, 1977, pp. 161-194.
    • (1977) Mathematical Software III , pp. 161-194
    • Lawson, C.1
  • 21
    • 0026238610 scopus 로고
    • Convergence of finite volume schemes for Poisson's equation on nonuniform meshes
    • E. SÜLI, Convergence of finite volume schemes for Poisson's equation on nonuniform meshes, SIAM J. Numer. Anal., 28 (1991), pp. 1419-1430.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1419-1430
    • Süli, E.1
  • 22
    • 0002245797 scopus 로고
    • Approximation in the finite element method
    • G. STRANG, Approximation in the finite element method, Numer. Math., 19 (1972), pp. 81-98.
    • (1972) Numer. Math. , vol.19 , pp. 81-98
    • Strang, G.1
  • 24
    • 0001416923 scopus 로고
    • Finite difference schemes on triangular cell-centered grids with local refinement
    • P. VASSILEVSKI, S. PETROVA, AND R. LAZAROV, Finite difference schemes on triangular cell-centered grids with local refinement, SIAM J. Numer. Anal., 13 (1992), pp. 1287-1313.
    • (1992) SIAM J. Numer. Anal. , vol.13 , pp. 1287-1313
    • Vassilevski, P.1    Petrova, S.2    Lazarov, R.3
  • 25
    • 0001669414 scopus 로고
    • On the convergence of block-centered finite differences for elliptic problems
    • A. WEISER AND M. WHEELER, On the convergence of block-centered finite differences for elliptic problems, SIAM J. Numer. Anal., 25 (1988), pp. 351-375.
    • (1988) SIAM J. Numer. Anal. , vol.25 , pp. 351-375
    • Weiser, A.1    Wheeler, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.